For the diagram provided, the line segment ST cuts through line QP as well as line PO.
The line segment QP is now divided into two equal halves (indicated by the single strokes on lines QS and SP).
Therefore we now have the following;
(1) ST is a segment bisector (TRUE)
(2) ST is a perpendicular bisector (FALSE) This is because it does not divide the line segment at a 90 degree angle/right angle.
(3) ST is an angle bisector (FALSE) This is because it does not divide any of the indicated angles.
(4) S is the vertex of a right angle. (FALSE) This is because S is the vertex of two angles and neither of them is a 90 degree angle.
(5) T is the vertex of a right angle. (FALSE) This is because the right angle is indicated at point P and not point T
(6) T is the midpoint of a segment in the diagram. (FALSE) This is because point T divides the line PO into two segments that are NOT EQUAL in measure.
ANSWER:
The only true statement in the answer choices is the first statement.